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13486314360 = 2335795932399
BaseRepresentation
bin11001000111101100…
…01101001101111000
31021210212212202100110
430203312031031320
5210104444024420
610110122304320
7655126531521
oct144366151570
937725782313
1013486314360
1157a0744652
1227446580a0
13136c07478c
1491d19b848
1553deb4ee0
hex323d8d378

13486314360 has 128 divisors (see below), whose sum is σ = 41057280000. Its totient is φ = 3543361536.

The previous prime is 13486314337. The next prime is 13486314379. The reversal of 13486314360 is 6341368431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5620441 + ... + 5622839.

It is an arithmetic number, because the mean of its divisors is an integer number (320760000).

Almost surely, 213486314360 is an apocalyptic number.

13486314360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13486314360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20528640000).

13486314360 is an abundant number, since it is smaller than the sum of its proper divisors (27570965640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13486314360 is a wasteful number, since it uses less digits than its factorization.

13486314360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 13486314360 in words is "thirteen billion, four hundred eighty-six million, three hundred fourteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 593 632 790 948 1185 1186 1580 1779 1896 2370 2372 2399 2965 3160 3558 4740 4744 4798 5930 7116 7197 8895 9480 9596 11860 11995 14232 14394 17790 19192 23720 23990 28788 35580 35985 46847 47980 57576 71160 71970 93694 95960 140541 143940 187388 189521 234235 281082 287880 374776 379042 468470 562164 568563 702705 758084 936940 947605 1124328 1137126 1405410 1422607 1516168 1873880 1895210 2274252 2810820 2842815 2845214 3790420 4267821 4548504 5621640 5685630 5690428 7113035 7580840 8535642 11371260 11380856 14226070 17071284 21339105 22742520 28452140 34142568 42678210 56904280 85356420 112385953 170712840 224771906 337157859 449543812 561929765 674315718 899087624 1123859530 1348631436 1685789295 2247719060 2697262872 3371578590 4495438120 6743157180 13486314360